Circles — Test Answers

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4

Consider a circle whose equation is x squared plus y squared minus 2 x minus 8 is equal to 0 Which statements are true? Choose three correct answers.

A
The center of the circle lies on the x -axis.
B
The standard form of the equation is open paren x minus 1 close paren squared plus y squared is equal to 3 .
C
The radius of the circle is 3 units.
D
The center of the circle lies on the y -axis.
E
The radius of this circle is the same as the radius of the circle whose equation is x squared plus y squared is equal to 9 .
7

What is the length of line segment JG ?

A
9 units
B
4 units
C
6 units
D
5 units
8

In the diagram of circle cap A , what is m angle LMN ?

A
120 degrees
B
135 degrees
C
75 degrees
D
90 degrees
9

What is m overarc SRT ?

A
266 degrees
B
282 degrees
C
258 degrees
D
274 degrees
10

The measure of central angle ABC is (π)/(2) radians. What is the area of the shaded sector?

A
18 pi units squared
B
9 pi units squared
C
6 pi units squared
D
36 pi units squared
11

Which kind of triangle must triangle XYZ be?

A
an isosceles triangle
B
a scalene triangle
C
a right triangle
D
an equilateral triangle
12

What is the measure of angle cap c ?

A
76 degrees
B
38 degrees
C
152 degrees
D
90 degrees
13

What is the length of line segment MN ?

A
6 units
B
24 units
C
18 units
D
4 units
14

Which statements about circle cap o are true? Choose three correct answers.

A
The diameter of circle cap o is 34 .
B
The radius of circle cap o is 13 .
C
line segment LP is a diameter of circle cap o .
D
The measure of arc LP is 90 degrees .
E
angle LMP intercepts a semicircle.
15

In circle cap o , what is m angle MAJ ?

A
50 degrees
B
125 degrees
C
250 degrees
D
55 degrees
16

What is the measure of angle BCD ?

A
106 degrees
B
74 degrees
C
37 degrees
D
53 degrees
17

In circle cap c , r is equal to 32 units. What is the area of circle cap c ?

A
256 pi units squared
B
32 pi units squared
C
1024 pi units squared
D
64 pi units squared
18

What is the measure of arc QR ?

A
128 degrees
B
104 degrees
C
52 degrees
D
26 degrees
19

What is the equation of the directrix of the parabola?

A
y is equal to 3
B
x is equal to negative 3
C
y is equal to negative 3
D
x is equal to 3
20

Which segments are congruent?

A
line segment FG and line segment EH
B
line segment EH and line segment EF
C
line segment EF and line segment GF
D
line segment GH and line segment FE

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